Respuesta :
Answer:
f(-9) = 243
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Algebra I
- Function Notations
Step-by-step explanation:
Step 1: Define
f(x) = 4x² + 7x - 18
f(-9) is x = -9
Step 2: Evaluate
- Substitute in x: f(-9) = 4(-9)² + 7(-9) - 18
- Evaluate exponents: f(-9) = 4(81) + 7(-9) - 18
- Multiply: f(-9) = 324 - 63 - 18
- Subtract: f(-9) = 261 - 18
- Subtract: f(-9) = 243
Given :
- f(x) = 4x² + 7x - 18
To Find :
- f(- 9) = ?
Solution :
As, we have f(x) = 4x² + 7x - 18, so to find f(- 9) substitute value of x as (-9).
[tex] \tt : \implies f(-9) = 4(-9)² + 7(-9) - 18[/tex]
[tex] \tt : \implies f(-9) = 4 \times 81 + (-63) - 18[/tex]
[tex] \tt : \implies f(-9) = 324 - 63 - 18[/tex]
[tex] \tt : \implies f(-9) = 324 - 81[/tex]
[tex] \tt : \implies f(-9) = 243[/tex]
[tex] \Large \underline{\boxed{\bf{f(-9) = 243}}}[/tex]
Hence, value of f(- 9) = 243.